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Section 5    Foreword     *2D-Potential     *3D-Potential     Dynamics     Bifurcation    Time-Reset     Bit-Stock
 

5.4

 ---- Dynamics

 

System Dynamics Management refers to a prospective vision on the future, a possible inference of pro-active and reactive actions and a control collecting information to infer eventual corrections.

 

The motions can be drawn or suggested in a perspective - i.e. by the arrows in the adjacent figure.

Graphical operations may so visualize programs and users experiences as sets of unitary actions that remain double-entry balances.

Programs and controls may so be performed equivalently based on both visual and digital formats.

Different simultaneous actions can be also be considered as the perspective remains a complete configuration which embeds the set of all-the-unitary-actions that are encapsulated as balanced collections by the relation [q] x [p] x [t].

By intuitive drawing of any sets of trajectories in a perspective, we ensure that one can always control the SD-balances.

 

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related parallelisms

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Parallelisms : Neurophenomenology - Statistics


Neurophenomenology

It is a fact that the isometric perspective enables the brain to capture a time impression and the pertinent environmental implications all at once.

In this perspective, the human brain can also perceive and pro-actively imagine motions and causal loops even when they rely upon distributed groups and locations.

Noticeable is the fact that the double time-inversion - see page 5.4 - offers an operational mechanism liaising "cause-effect" in a manner that can be handled by both a human being brain and a computer - this last one not needing any other fundamental modeling capacity than the ability to calculate balances.

More than noticeable is that no-one assumption has ever been made so far on the application domain.

The parallelisms that have been expressed with quantum mechanics with thermodynamics concerned mainly spaces and collections - say that they referred to operations on boxes but not to any specific content of those boxes.

Hence, action programs or users experiences design and control may be translated and investigated with a similar (isometric) perspective in any domain and the balance be always conversely described - i.e. in quantitative domain like physics, engineering and accounting but also in qualitative domain - say inferring human related issues - like marketing, human resources management, coaching or psychology.


Statistics

The uncertainty of the type mentioned at the page 4.7 cumulates when repeated over a prospective time period. They typically nearly double at each new instance so that they rapidly grow in an exponential manner within a graph representing "uncertainty-versus-time".

Because they can be restricted at a limited zone of the spherical manifold, noticeable is the fact that they can be represented within a finite cluster zone - i.e. a square - within the central [future] cluster of the isometric perspective.

We may even infer a representation that decreases eventually the importance of a risk with time as the isometric projection decreases the size of an object towards the focal point - i.e. like when the importance of a risk modulated by a shortly due issue or long time delay before it comes that we would care about it.

When several of those uncertainties are present and interact with each others - as it is often the case in the real life - their treatments via "uncertainty-versus-time" relationships analysis become  cumbersome or infer intractable non linearity.

Noticeable is that in the case of the isometric perspectives, they will only remain in the format of finite cluster that can be treated like individualized and bounded element.

Those finite zone of "infinite uncertainty" does not decrease the degree of uncertainty. They allow to highlight by adequate spots zones where "flip-flop" of influence may raise and eventually where a human operator would pay a particular attention and work at inferring an appropriate context to favor the case in which he wishes the uncertainty to reify.

Noticeable is that a detailed time line within those spots is made of at least two converse opposite cycles inferring infinite branching sequences. It does not go without reclaiming at the origin of the discovery of the fractals by B. Mandelbrot.

This in turn highlights that - in addition to classically related phenomena - the isometric perspective allows to indicate in a simple and natural manner where complex risk or serependity may infer system evolutions.